By what number should (-1/5) power -1 be multiplied so that the product may be equal to (1/5)to the power -3
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By what number should (-1/5) power -1 be multiplied so that the product may be equal to (1/5)to the power -3
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Answer:
x=-25
Step-by-step explanation:
Let the number be x
(-1/5)^-1*x=(1/5)^-3
x= (1/5)^-3*(-5)^-1
x=(1/5)^-3*(-1/5)^1
x= -[(1/5)^-3+1]
x= -[(1/5)^-2]
x=-(5²)
x= -25 or x=(-1/5)^-2)
So,(-1/5)^-2*(-1/5)^-1 = (1/5)^-3
Hence Proven
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